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Finding the Third Proportional to 193,956.19 and 301,023.84

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Solution

The third proportional to 193,956.19 and 301,023.84 is: 467,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,956.19 : 301,023.84 = 301,023.84 : x
  2. Step 2: Convert to fraction form
    193,956.19/301,023.84 = 301,023.84/x
  3. Step 3: Cross multiply
    193,956.19x = 301,023.84 × 301,023.84
  4. Step 4: Simplify right side
    193,956.19x = 90,615,354,506.02
  5. Step 5: Solve for x
    x = 90,615,354,506.02/193,956.19
  6. Step 6: Final answer
    x = 467,194.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.